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Finding the Third Proportional to 332,908 and 728,098

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Solution

The third proportional to 332,908 and 728,098 is: 1,592,412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,908 : 728,098 = 728,098 : x
  2. Step 2: Convert to fraction form
    332,908/728,098 = 728,098/x
  3. Step 3: Cross multiply
    332,908x = 728,098 × 728,098
  4. Step 4: Simplify right side
    332,908x = 530,126,697,604
  5. Step 5: Solve for x
    x = 530,126,697,604/332,908
  6. Step 6: Final answer
    x = 1,592,412.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.